121200012120 has 128 divisors (see below), whose sum is σ = 400582298880. Its totient is φ = 29090880000.

The previous prime is 121200012053. The next prime is 121200012149. The reversal of 121200012120 is 21210002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121200012096 and 121200012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321226 + ... + 587865.

It is an arithmetic number, because the mean of its divisors is an integer number (3129549210).

Almost surely, 2^121200012120 is an apocalyptic number.

121200012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121200012120 is an abundant number, since it is smaller than the sum of its proper divisors (279382286760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121200012120 is a wasteful number, since it uses less digits than its factorization.

121200012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909217 (or 909213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121200012120 its reverse (21210002121), we get a palindrome (142410014241).

Subtracting from 121200012120 its reverse (21210002121), we obtain a palindrome (99990009999).

It can be divided in two parts, 12120001 and 2120, that added together give a palindrome (12122121).

The spelling of 121200012120 in words is "one hundred twenty-one billion, two hundred million, twelve thousand, one hundred twenty".